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Questions in mathematics

[Done] Solve for $m$ in the proportion. $\frac{13.5}{14.4}=\frac{m}{12.8}$ $m=$

[Done] Use the appropriate formula to find the value of the annuity and the interest. | Periodic Deposit | Rate | Time | | :--------------- | :--------------------------------- | :------ | | $3000 | 5.25% compounded quarterly | 5 years | a. The value of the annuity is $ [ ] (Do not round until the final answer. Then round to the nearest dollar as needed.)

[Done] Approximate $\sqrt{46}$ to the tenths place.

[Done] $\frac{2 \cdot \frac{5-r}{4}}{4}=\frac{1}{r}$

[Done] Multiply to find the product. 445 x 78 234 x 78

[Done] Consider the following word problem: The temperature readings for 20 days at 9 AM at a local ski resort were recorded as follows: 19°, 6°, −5°, −4°, −2°, 12°, −3°, 17°, 23°, 8°, 8°, 2°, 28°, 4°, −2°, −9°, −3°, 21°, 25°, 0°. What was the average of the recorded temperatures for these 20 days? Round your answer to the nearest tenth.

[Done] The sum of four consecutive even numbers is 'X+26' and there are four consecutive odd numbers, of which the 2nd lowest number is three more than the 2nd highest even number. If the sum of the lowest numbers in both series is 37, then find the value of \(\frac{X}{2}\). (a) 25 (b) 50 (c) 75 (d) 20 (e) 40

[Done] Which of the following sequences is an arithmetic sequence and why? 1. $3,7,11,15,19$ 2. $4,16,64,256$ 3. $48,24,12,6,3, \ldots$ 4. $1,4,9,16,25,36$ 5. $1, \frac{1}{2}, 0,-\frac{1}{2}$ 6. $-2,4,-8,16, \ldots$ 7. $1,0,-1,-2,-3$ 8. $\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \ldots$ 9. $3 x, x, \frac{x}{3}, \frac{x}{9}, \ldots$ 10. $9.5, 7.5, 5.5$

[Done] The table of values below represents a linear function and shows the amount of snow that has fallen since a snowstorm began. What is the rate of change? | Length of Snowfall (hours) | Amount of Snow on the Ground (inches) | |---|---| | 0 | 3.30 | | 0.5 | 4.5 | | 1.0 | 5.7 | | 1.5 | 6.9 | | 2.0 | 8.1 | A. 1.2 inches per hour B. 2.4 inches per hour

[Done] Select the correct answer. Points B and C lie on a circle with center O and a radius of 15 units. If the length of arc BC is [tex]$21 \pi$[/tex] units, what is [tex]$m \angle BOC$[/tex] in radians? A. [tex]$1.2 \pi$[/tex] B. [tex]$\frac{3}{5} \pi$[/tex] C. [tex]$\frac{7}{5} \pi$[/tex] D. [tex]$0.7 \pi$[/tex]